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sergiy2304 [10]
2 years ago
8

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on

a certain object, the acceleration
of the object is 3 m/s
If the force is changed to 16 N, what will be the acceleration of the object?
Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Answer:

Force acting on the object varies directly with the objects acceleration:

F∝a

F=ka (Let's call this equation 1)

When F=12 and a =3

Substituting this info into the equation 1;

12=k×3

12=3k

k=4

Substituting k into equation 1

F=4xa

F=4a (Let's call this equation 2)

When F=16

Substituting F=16 into equation 2

16=4a

a=4 m/s^2

Therefore, if the force is changed to 16 N, the acceleration will be 4m/s^2.

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The length of a rectangular garden is 6 feet less than 3 times its width. The area is 360 square feet. What is the length of the
topjm [15]
Width = w
Length = 3w - 6
Area = 360

Equation Area = wl
w (3w-6) = 360
3w^2- 6w = 360
3w^2 - 6w - 360 = 0
3 (w^2 - 2w - 120)=0
3(w + 10)(w - 12) = 0
w = -10 & 12
l = 3w-6 = 3 (-10)-6= -30 - 6= -36
l = 3w-6 = 3(12) - 6 = 36-6 = 30

Answer: -10 and 12. Yet, since this is a measurement, it must be positive so 12 ft
4 0
3 years ago
The circle below is centered at the origin and has a radius of 5. What is its
nasty-shy [4]

Answer:

Option B is the correct answer

Step-by-step explanation:

B. x2 + y2 = 25

3 0
3 years ago
Send help my way please y'all so smart
Fofino [41]
Graph A is the correct one
3 0
2 years ago
Read 2 more answers
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
2 years ago
The modulus of (3 + 4i)4 is _____.<br><br> 5<br> 20<br> 125<br> 625
vladimir1956 [14]
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
6 0
2 years ago
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